Cremona's table of elliptic curves

9100 = 2² · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	9100c	Isogeny class
Conductor	9100	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2160	Modular degree for the optimal curve
Δ	-23186800 = -1 · 24 · 52 · 73 · 132	Discriminant
Eigenvalues	2-  2 5+ 7+ -3 13+  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,62,117]	[a1,a2,a3,a4,a6]
j	64835840/57967	j-invariant
L	2.7866322434013	L(r)(E,1)/r!
Ω	1.3933161217007	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36400ca1 81900l1 9100n1 63700bb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9100c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	+	+	-3	+	6	2	3	-3	2	-11	12	1	-6	6	6	2	13	-3	4	5	12	12	16

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Quadratic twists for elliptic curve 9100c1

-4	-3	5	-7	13
36400ca1	81900l1	9100n1	63700bb1	118300x1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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